132066 20240301161205.0 doi 10.1016/j.topol.2009.06.011 sideral 65529 ART-2009-65529 eng Martin-Morales, J. Universidad de Zaragoza (orcid)0000-0002-6559-4722 Combinatorial Aspects of the Character Variety of a Family of One-Relator Groups 2009 Let us consider the group G = hx, y | x m = y ni with m and n nonzero integers. In this paper, we study the character variety X(G) in SL(2, C) of the group G, obtaining by elementary methods an explicit primary decomposition of the ideal corresponding to X(G) in the coordinates X = tx, Y = ty and Z = txy. As an easy consequence, a formula for computing the number of irreducible components of X(G) as a function of m and n is given. Finally we provide a combinatorial description of X(G) and we prove that in most cases it is possible to recover (m, n) from the combinatorial structure of X(G). Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MICINN/MTM2007-67884-C04- 02 info:eu-repo/grantAgreement/ES/MICINN MTM2007-67908- C02-01 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.441 2009 MATHEMATICS 191 / 255 = 0.749 2009 Q3 T3 MATHEMATICS, APPLIED 177 / 204 = 0.868 2009 Q4 T3 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Oller-Marcen,A. M. Universidad de Zaragoza (orcid)0000-0002-8191-3199 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 156, 14 (2009), 2376-2389 Topol. its appl. TOPOLOGY AND ITS APPLICATIONS 0166-8641 292926 http://zaguan.unizar.es/record/132066/files/texto_completo.pdf Postprint 1905962 http://zaguan.unizar.es/record/132066/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:132066 articulos driver 2024-03-01-14:36:44 ARTICLE